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Finding the Fourth Proportional to 83,855.43, 125,695.64 and 33,969.96

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Solution

The fourth proportional to 83,855.43, 125,695.64 and 33,969.96 is: 50,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.43 : 125,695.64 = 33,969.96 : x
  2. Step 2: Convert to fraction form
    83,855.43/125,695.64 = 33,969.96/x
  3. Step 3: Cross multiply
    83,855.43x = 125,695.64 × 33,969.96
  4. Step 4: Simplify right side
    83,855.43x = 4,269,875,947.90
  5. Step 5: Solve for x
    x = 4,269,875,947.90/83,855.43
  6. Step 6: Final answer
    x = 50,919.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.